Math Problem Statement

Each square on the map represents 1/20 acre. How many square feet are in 1 acre? Explain or show your reasoning.

Solution

The problem asks to find how many square feet are in 1 acre, given that each square on the map represents 120\frac{1}{20} of an acre.

Solution:

  1. Step 1: Conversion of Acres to Square Feet

    • 1 acre is equivalent to 43,560 square feet. This is a standard conversion factor.
  2. Step 2: Calculate the number of square feet in 120\frac{1}{20} acre 120 acre=120×43,560 square feet\frac{1}{20} \text{ acre} = \frac{1}{20} \times 43,560 \text{ square feet} =43,56020=2,178 square feet= \frac{43,560}{20} = 2,178 \text{ square feet}

Thus, each square on the map represents 2,178 square feet.

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Related Questions:

  1. How many square feet are in 110\frac{1}{10} of an acre?
  2. What would be the area of 2 acres in square feet?
  3. If 1 acre equals 43,560 square feet, how many acres are in 100,000 square feet?
  4. How do you convert square miles to acres?
  5. How can you convert square feet back into acres?

Tip:

Always remember the conversion factor: 1 acre = 43,560 square feet.

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Proportions

Formulas

1 acre = 43,560 square feet
(1/20) × 43,560

Theorems

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Suitable Grade Level

Grades 6-8